How to dynamically set Current_ Frame in Driver Namespace Function Call?
Return the value from a driver, don't set it.
So many things wrong with such a little script.
In addition to comments below question:
Don't mix context and drivers, the driver returns a value to the property it is driving.  To drive the z rotation of an object with wiggle, simply type directly into field.  Using hash as first character when first entering informs blender to treat input as  a driver expression #wiggle(1, 35)
Here it is seen as purple (a driver) after being added as above

The frame is known to the driver namespace as &quot;frame&quot;, have used that rather than passing frame via arguments or setting up a variable using scene.
import bpy
from bpy.app import driver_namespace as dns
from math import sin

def wiggle(frame_start, frame_end):
    frame = dns[&quot;frame&quot;] # saves passing it
    if frame_start &lt;= frame &lt;= frame_end:
        return sin(frame) / 10
    return 0.0

dns[&quot;wiggle&quot;] = wiggle